Osteocytes, the major type of bone cells embedded in the bone matrix and surrounded by the lacunar and canalicular system, can serve as biomechanosensors and biomechanotranducers of the bone. Theoretical analytical methods have been employed to investigate the biomechanical responses of osteocytes in vivo; the poroelastic properties have not been taken into consideration in the three-dimensiona...

This paper proposes a framework for the estimation of transport and elastic properties open-cell poroelastic media based on sound absorption measurements. The sought are Biot-Johnson-Champoux-Allard model parameters, namely five two mass density, as well sample thickness. methodology relies multi-observation approach, consisting in combining multiple independent measurements into single dataset...

We develop a model which couples the flow in discrete fracture to deformable porous medium. To account for representation of fracture, dimensionally-reduced fluid is proposed. The incorporates both reduced permeability walls due skin effect, and slip flowing along permeable walls. Biot's poroelastic media coupled based on thin-film approximation compressible Navier-Stokes equations. entry resis...

We investigate the stability and geometrically nonlinear dynamics of slender rods made of a linear isotropic poroelastic material. Dimensional reduction leads to the evolution equation for the shape of the poroelastica where, in addition to the usual terms for the bending of an elastic rod, we find a term that arises from fluid–solid interaction. Using the poroelastica equation as a starting po...

This paper extends the author’s previous two-dimensional work with Ou and LeVeque to high-resolution finite volume modeling of systems of fluids and poroelastic media in three dimensions, using logically rectangular mapped grids. A method is described for calculating consistent cell face areas and normal vectors for a finite volume method on a general non-rectilinear hexahedral grid. A novel li...

An extension of the two-step staggered time discretization linear elastodynamics in stress-velocity form to systems involving internal variables subjected a possibly non-linear dissipative evolution is proposed. The original scheme thus enhanced by another step for which, general, implicit, although even this might be explicit if no spatial gradients are involved. Using an abstract Banach-space...